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LCM of 649, 464, 737, 385

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 649, 464, 737, 385 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 649, 464, 737, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,464,737,385

Given numbers are 649,464,737,385

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 649,464,737,385 is 706163920.

Find LCM of 649,464,737,385 with Prime Factorization


11 649, 464, 737, 385
59, 464, 67, 35

Multiply the prime numbers at the bottom and the left side.

11 x 59 x 464 x 67 x 35 = 706163920

Therefore, the lowest common multiple of 649,464,737,385 is 706163920.

LCM Formula to Find Lowest Common Multiple of 649,464,737,385

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

649 x 464 x 737 x 385 = 85445834320

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

649 : 1, 11, 59, 649

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

737 : 1, 11, 67, 737

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,464,737,385, is 1.

Now, the common factors can be found like this.

649:11x 59

464:2x 2x 2x 2x 29

737:11x 67

385:5x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 11 = 121

Therefore, the value for common factors is 121.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 85445834320/(1x121)

LCM = 85445834320/121

LCM = 706163920

Thus, we can understand that the LCM of 649,464,737,385 is 706163920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 464, 737, 385

1. What is the LCM of 649, 464, 737, 385?

Answer: LCM of 649, 464, 737, 385 is 706163920.

2. How to calculate the LCM of 649, 464, 737, 385?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 649, 464, 737, 385.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.